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Simplifying 0.75c + -0.11 = 0.23(c + -5) Reorder the terms: -0.11 + 0.75c = 0.23(c + -5) Reorder the terms: -0.11 + 0.75c = 0.23(-5 + c) -0.11 + 0.75c = (-5 * 0.23 + c * 0.23) -0.11 + 0.75c = (-1.15 + 0.23c) Solving -0.11 + 0.75c = -1.15 + 0.23c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.23c' to each side of the equation. -0.11 + 0.75c + -0.23c = -1.15 + 0.23c + -0.23c Combine like terms: 0.75c + -0.23c = 0.52c -0.11 + 0.52c = -1.15 + 0.23c + -0.23c Combine like terms: 0.23c + -0.23c = 0.00 -0.11 + 0.52c = -1.15 + 0.00 -0.11 + 0.52c = -1.15 Add '0.11' to each side of the equation. -0.11 + 0.11 + 0.52c = -1.15 + 0.11 Combine like terms: -0.11 + 0.11 = 0.00 0.00 + 0.52c = -1.15 + 0.11 0.52c = -1.15 + 0.11 Combine like terms: -1.15 + 0.11 = -1.04 0.52c = -1.04 Divide each side by '0.52'. c = -2 Simplifying c = -2
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